If Joelle multiplied 792 by a positive integer and came up with a perfect square as her answer, then what is the smallest integer she could have multiplied 792 by?

Please help!

Question

If Joelle multiplied 792 by a positive integer and came up with a perfect square as her answer, then what is the smallest integer she could have multiplied 792 by?

Please help!

mathstudent55 · Answer

Can you find the prime factorization of 792?

anonymous · Answer

2X2X2X3X3X11

anonymous · Answer

@mathstudent55?

anonymous · Answer

Plz hurry I have to leave soon.

mathstudent55 · Answer

Excellent.
In order to have a perfect square, you need an even number of each prime factor.
You have 2 3's, so that's ok, but you have 3 2's and one 11, so you need one more 2 and one more 11.

anonymous · Answer

OK...so I add 6+8+22 to get the answer?

mathstudent55 · Answer

No. What you need to do is write in those extra factors. You need to multiply, not add.

anonymous · Answer

OK, so 6X8X22?

mathstudent55 · Answer

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